The following problems require the use of the quotient rule. In the following discussion and solutions the derivative of a function h(x) will be denoted by tex2html_wrap_inline59 or h'(x) . The quotient rule is a formal rule for differentiating problems where one function is divided by another. It follows from the limit definition of derivative and is given by

tex2html_wrap_inline63 .

Remember the rule in the following way. Always start with the ``bottom'' function and end with the ``bottom'' function squared. Note that the numerator of the quotient rule is identical to the ordinary product rule except that subtraction replaces addition. In the list of problems which follows, most problems are average and a few are somewhat challenging.

Some of the following problems require use of the chain rule.

Click HERE to return to the original list of various types of calculus problems.

Your comments and suggestions are welcome. Please e-mail any correspondence to Duane Kouba by clicking on the following address :


Duane Kouba
Tue Jul 29 13:34:53 PDT 1997